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<p><dfn class="terminology">Necessary and Sufficient Conditions</dfn> A set of solutions to <span class="process-math">\(L[y]=0\text{,}\)</span> <span class="process-math">\(\{y_1\text{,}\)</span> <span class="process-math">\(y_2\text{,}\)</span><span class="process-math">\(\cdots\text{,}\)</span> <span class="process-math">\(y_n\}\text{,}\)</span> are linear independent if and only if <span class="process-math">\(W(y_1, y_2, \cdots, y_n)\neq 0\)</span> at a point.</p>
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